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Finding the Fourth Proportional to 575.96, 795.09 and 339.83

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Solution

The fourth proportional to 575.96, 795.09 and 339.83 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.96 : 795.09 = 339.83 : x
  2. Step 2: Convert to fraction form
    575.96/795.09 = 339.83/x
  3. Step 3: Cross multiply
    575.96x = 795.09 × 339.83
  4. Step 4: Simplify right side
    575.96x = 270,192.60
  5. Step 5: Solve for x
    x = 270,192.60/575.96
  6. Step 6: Final answer
    x = 469.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.